Sean earns $4.50 per hour more than his trainee, Tyrone. During one 8 hour day, they earn a total of $284. How much does Sean make per hour?

Question

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Answer 1

1) Let Sean=x and Tyrone=y. But we want to get what Sean earns and what Tyrone earns in terms of one variable so we say that Tyrone=x-4.5 (beacuse he makes $4.50 per hour less than Sean).

 

2) Now set up the equation: 8 hours time x plus 8 hours times x-4.5 equals 284 OR
8x+8(x-4.5)=284

 

3) Solve for x 

8x+8(x-4.5)=284

8x+8x-36=284

16x=320

x=20

 

So Sean makes $20 per hour and Tyrone makes $15.50 per hour